Prime Number Functions - #400

Draft

mborland wants to merge 118 commits into

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mborland:prime_functions

Commits on Sep 8, 2026

Initial Commit
mborland
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2138422
Changed init of least_divisors
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a9905e1
Cleanup
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b2c0220
Cleanup
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86dc4bd
Added additional tests, benchmarks, and overflow checks
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a7dcc5b
Fix include guard naming
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f93437e
Complete revamp of algorithm. Hide implementation behind detail namespace. [CI SKIP]
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95c8949
Re-added support and tests for boost::multiprecision::cpp_int [CI SKIP]
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f9fdcd6
Changed benchmarks to support threading [CI SKIP]
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9ef2e39
Added execution policies. Increased performance for dynamically linked libraries. Fixed -Wextra errors. [CI SKIP]
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b8ecfd8
Added massively parallel section to prime_sieve. Increased length of benchmark for int64_t.
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f5730d8
Add test for multi-threading section and add to Jamfile [CI SKIP]
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c5cd5b2
Added prime sieve to existing prime numbers documentation [CI SKIP]
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e1fcfdc
Revisions to documentation and send to CI
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e22f772
Changed include guards to be compatible with C++11 and 14.
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342a193
Fixed doc, and ensured that primes are sorted
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202deff
Fixed documentation. Complete re-design of mask_sieve algo. Pre-generation of primes to reduce duplication and memory usage. Segmentation now fits L1 cache. [CI SKIP]
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27f195c
All vectors now init {}. Change include guards. Replace raw pointer.
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85a45b1
Changed from [lower_bound, upper_bound] to [lower_bound, upper_bound). Edge test case removed. Fixed bad vector indexing. Raw pointers replaced with smart pointers.
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95d25e9
Fixed documentation [CI SKIP]
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b8b1c6c
segmented_sieve now runs using std::async. [CI SKIP]
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af29c7d
Removed extraneous operations [CI SKIP]
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90344c2
Cleanup style, and delete unused function. Enable par_unseq mask_sieve. Reduce limit to change sieving methods. [CI SKIP]
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d799b37
Small Cleanup and limit reduction for sieving methods.
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2bda71e
Add pritchard's sub-linear algo [WIP][CI SKIP]
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5edc6c5
Added pritchards segmented sieve [WIP][CI SKIP]
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c76a840
Implemented binary search in SetS [WIP][CI SKIP]
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b402b86
Tests and performance compairsons [WIP][CI SKIP]
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62c435f
More tests. Segmented sieve small cases fix
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ba91ef8
Imporve segmented performance [WIP][CI SKIP]
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49492b2
Replaced SetS members with stl algos [WIP][CI SKIP]
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eeb99b4
Replace searching with tracked index. General performance improvements. [WIP][CI SKIP]
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05093b1
Minor change to SetS remove [WIP][CI SKIP]
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32b1d78
Pritchard segmented performance improvements [WIP][CI SKIP]
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19a683a
Fixed failed test [WIP][CI SKIP]
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926298c
Various performance improvements [WIP][CI SKIP]
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2b18a83
Build primes in situ [WIP][CI SKIP]
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795fb4f
Refactoring. Now requires C++17
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3d7bd8d
Add segmented bit sieve [WIP][CI SKIP]
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344de8d
Removed segmented bit sieve and excess headers [CI SKIP]
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79f9f9e
Added wheel class [WIP][CI SKIP]

Matt Borland
authored and
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152b8dd
Added fixed mod 210 wheel [WIP][CI SKIP]

Matt Borland
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mborland
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fb3f737
New segmented sieve algorithm [WIP][CI SKIP]

Matt Borland
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mborland
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b97b905
Added interval sieve to performance test [CI SKIP]

Matt Borland
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mborland
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d8aacc1
Added unit tests [WIP][CI SKIP]

Matt Borland
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fe9955a
Implemented interval sieve [CI SKIP]

Matt Borland
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0d5eb2b
Performance improvements and bug fixes [CI SKIP]

Matt Borland
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4f16a45
Significant refactoring [WIP][CI SKIP]

Matt Borland
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e6b8474
Seq policy actually sequential [CI SKIP]

Matt Borland
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9f66686
Fixes for multiprecision and policies [CI SKIP]

Matt Borland
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2391069
cpp_int now passes all tests [CI SKIP]

Matt Borland
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17fdaac
mpz_int passes unit tests [CI SKIP]

Matt Borland
authored and
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ad70aaa
Documentation edits [CI SKIP]
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0253354
Replace magic number w variable template [CI SKIP]
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6da5e95
Better prime_range implementation [WIP][CI SKIP]
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a36273a
Minor changes and doc updates
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d1bd6f4
Minor change to policy handling [CI SKIP]
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82bdbd9
diffs from @jzmaddock [CI SKIP]
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9f66948
Implemented linear sieve with iterators
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d8d77a8
Sanitize linear prime sieve and add wheel
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013362b
Added container method
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1cdadc7
Improved Linear Algo and testing
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035f72c
Linear output iterator and refactoring [CI SKIP]
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867548d
Added prime approximation function
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891b6bb
prime approximation function for a range
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9a7ddc3
Added interval sieve for output iterators
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702efa6
Interval sieve with OI passes unit tests [CI SKIP]
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dde56c4
Add sequential composite sieve with OI [CI SKIP]
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7ddc6d7
Add threaded method. Currently INOP [CI SKIP]
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4e17140
Threaded method completed and validated [CI SKIP]
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3b9229e
Resolves issue #439 [CI SKIP]
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ec3f954
Updated benchmarks [CI SKIP]
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b6f557c
Correct benchmark memory allocation [CI SKIP]
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be6ca1a
Add linear sieve direct from stepanov [CI SKIP]
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43be779
First draft of eratosthenes w/ wheel [CI SKIP]
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b7fac35
Fixes for multiprecision types [CI SKIP]
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2a8a30a
wheel sieve passes standard battery [CI SKIP]
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9b275fa
Add prime sieve wrapper [CI SKIP]
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c11a5bb
Implement dual interface for prime sieve [CI SKIP]
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154fae5
Implement dual interface for prime_range [CI SKIP]
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d267383
Remove uneeded vals from wheel [CI SKIP]
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05bb386
Internal data structure changes [CI SKIP]
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95a9fcc
Rename type alias [CI SKIP]
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eabd9c2
Swap mod 210 wheel for mod 30 wheel [CI SKIP]
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68d65cc
Add simple bitset file [CI SKIP]
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c38ece2
Reduced unnecessary traversing of bitset [CI SKIP]
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e57483f
Updated bitset [CI SKIP]
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dd01b5c
Add resize to simple_bitset [CI SKIP]
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38d68f5
Implement simple_bitset as internal data structure
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76e510e
Add prime-composite ratio to wheel to size bitset
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0fdebbf
minor refactoring [CI SKIP]
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8438e29
Fix PrimeRatio [CI SKIP]
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1311f15
Improved prime range [CI SKIP]
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3f3a8e1
Add hamming weight calc to simple bitset [CI SKIP]
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f449bfc
Add forward and reverse bit scan to simple bitset
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0a0238c
Fix count, enable bit scan by type, cleanup
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71c6403
Add dual interface. Avoid using multiprecision
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830a260
Seperate approximation for multiprecision types
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4cb957b
Remove all mulitples of wheel basis from bitset
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f28448d
IntervalSieve performance improvements [CI SKIP]
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344fb66
Add small prime optimization [CI SKIP]
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838b5be
Add small primes to full sieve [CI SKIP]
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e08cfd0
Implement bit scanning in sieve [CI SKIP]
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0a5d779
Fix minor errors
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5ea16f9
Add trial divison to verify tests [CI SKIP]
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440beba
Fix small primes [CI SKIP]
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bf7322e
Revert interval_prime_sieve.hpp to f39a4d8
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e92530d
Remove cruft [CI SKIP]
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b2e3155
Continue cleanup [CI SKIP]
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0d3d607
Remove old unneeded files
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52207cf
Add enhanced testing
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af23aea
Update benchmarks
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202a07b
Add standalone HAS_INT128 macro
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8a95064
Relocate and improve bitwise functions
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13bbd9d
Update implementation
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d8d4698
Update module
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2d4ac84
Update documentation
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2427588
Update HTML
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6675c43

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Commits

Commits on Sep 8, 2026